Finite Group Databasebeta

← #11633214

Subgroups — #11633214

Order 768.

2902 conjugacy classes of subgroups.

The subgroup lattice has 1784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5612C211yesmaximal, characteristic, complemented
2C2×#5547C211yesmaximal, characteristic, complemented
3C3×#2444C211yesmaximal, characteristic, complemented
4#82691C211yesmaximal, characteristic, complemented
5#82405C211yesmaximal, characteristic, complemented
6#78346C211yesmaximal, characteristic, complemented
7#78344C211yesmaximal, characteristic, complemented
8#77678C211yesmaximal, characteristic, complemented
9#77668C211yesmaximal, characteristic, complemented
10#77668C211yesmaximal, characteristic, complemented
11#77569C211yesmaximal, characteristic, complemented
12#77108C211yesmaximal, characteristic, complemented
13#77019C211yesmaximal, characteristic, complemented
14#75847C211yesmaximal, characteristic, complemented
15#75832C211yesmaximal, characteristic, complemented
16#75317C211yesmaximal, characteristic, complemented
17#75309C211yesmaximal, characteristic, complemented
18#74902C211yesmaximal, characteristic, complemented
19#74901C211yesmaximal, characteristic, complemented
20#74897C211yesmaximal, characteristic, complemented
21#74886C211yesmaximal, characteristic, complemented
22#74880C211yesmaximal, characteristic, complemented
23D3×#386C211yesmaximal, characteristic, complemented
24#74799C211yesmaximal, characteristic, complemented
25#74717C211yesmaximal, characteristic, complemented
26#74606C211yesmaximal, characteristic, complemented
27#74604C211yesmaximal, characteristic, complemented
28D3×#381C211yesmaximal, characteristic, complemented
29#74069C211yesmaximal, characteristic, complemented
30#73368C211yesmaximal, characteristic, complemented
31#73368C211yesmaximal, characteristic, complemented
32#59009—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C22×#235C2211yescharacteristic
36C23×C4×D3C2211yescharacteristic
37C2×C3×#121C2211yescharacteristic
38C2×C3×C4×D4C2211yescharacteristic, complemented
39C2×#939C2211yescharacteristic, complemented
40C2×#938C2211yescharacteristic
41C2×#938C2211yescharacteristic
42C2×#937C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#936C2211yescharacteristic
45C2×C4×#67C2211yescharacteristic
46C2×C4×#67C2211yescharacteristic
47C2×C4×#67C2211yescharacteristic, complemented
48C2×C4×#67C2211yescharacteristic, complemented
49C2×C4×#67C2211yescharacteristic, complemented
50#5612—28no—
51#5547—28no—
52C2×#897C2211yescharacteristic
53C2×#896C2211yescharacteristic, complemented
54C2×#895C2211yescharacteristic
55C2×#894C2211yescharacteristic
56C2×#894C2211yescharacteristic, complemented
57C2×#893C2211yescharacteristic
58C2×#884C2211yescharacteristic
59C2×#884C2211yescharacteristic, complemented
60C2×#883C2211yescharacteristic
61C2×#883C2211yescharacteristic
62C2×#883C2211yescharacteristic
63C2×#882C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×D3×C22⋊C4C2211yescharacteristic
66C2×D3×C22⋊C4C2211yescharacteristic
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×#878C2211yescharacteristic, complemented
72C2×C4×D12C2211yescharacteristic, complemented
73C2×#872C2211yescharacteristic
74C3×#400C2211yescharacteristic, complemented
75C3×#397C2211yescharacteristic, complemented
76C3×#397C2211yescharacteristic, complemented
77C3×#394C2211yescharacteristic
78C3×#388C2211yescharacteristic, complemented
79C3×#387C2211yescharacteristic, complemented
80C3×#386C2211yescharacteristic
81C3×#386C2211yescharacteristic, complemented
82C3×#386C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic, complemented
84C3×#385C2211yescharacteristic, complemented
85C3×#381C2211yescharacteristic, complemented
86C2×C3×#95C2211yescharacteristic, complemented
87#5223C2211yescharacteristic
88#5223C2211yescharacteristic, complemented
89#5222C2211yescharacteristic, complemented
90#5221C2211yescharacteristic, complemented
91#5220C2211yescharacteristic
92#5213C2211yescharacteristic
93#5213C2211yescharacteristic, complemented
94#5213C2211yescharacteristic, complemented
95#5213C2211yescharacteristic, complemented
96#5213C2211yescharacteristic, complemented
97#5211C2211yescharacteristic, complemented
98#5211C2211yescharacteristic, complemented
99#5211C2211yescharacteristic, complemented
100#4990C2211yescharacteristic, complemented
101#4989C2211yescharacteristic
102#4989C2211yescharacteristic, complemented
103#4987C2211yescharacteristic
104#4987C2211yescharacteristic, complemented
105#4982C2211yescharacteristic, complemented
106#4982C2211yescharacteristic, complemented
107#4980C2211yescharacteristic, complemented
108#4979C2211yescharacteristic, complemented
109#4977C2211yescharacteristic, complemented
110#4961C2211yescharacteristic, complemented
111#4961C2211yescharacteristic, complemented
112#4960C2211yescharacteristic
113#4960C2211yescharacteristic, complemented
114#4959C2211yescharacteristic
115#4959C2211yescharacteristic, complemented
116#4959C2211yescharacteristic, complemented
117#4959C2211yescharacteristic, complemented
118#4958C2211yescharacteristic
119#4956C2211yescharacteristic
120#4956C2211yescharacteristic
121#4956C2211yescharacteristic
122#4956C2211yescharacteristic
123#4956C2211yescharacteristic, complemented
124#4956C2211yescharacteristic, complemented
125#4955C2211yescharacteristic
126#4953C2211yescharacteristic, complemented
127#4952C2211yescharacteristic, complemented
128#4952C2211yescharacteristic, complemented
129#4952C2211yescharacteristic, complemented
130#4951C2211yescharacteristic, complemented
131#4948C2211yescharacteristic, complemented
132#4947C2211yescharacteristic, complemented
133#4945C2211yescharacteristic, complemented
134#4945C2211yescharacteristic, complemented
135#4945C2211yescharacteristic, complemented
136#4944C2211yescharacteristic, complemented
137#4944C2211yescharacteristic, complemented
138#4943C2211yescharacteristic, complemented
139#4943C2211yescharacteristic, complemented
140C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
141#4928C2211yescharacteristic, complemented
142#4676C2211yescharacteristic, complemented
143#4674C2211yescharacteristic, complemented
144#4673C2211yescharacteristic, complemented
145#4673C2211yescharacteristic, complemented
146#4670C2211yescharacteristic, complemented
147#4670C2211yescharacteristic, complemented
148#4668C2211yescharacteristic
149#4668C2211yescharacteristic, complemented
150#4668C2211yescharacteristic, complemented
151#4668C2211yescharacteristic, complemented
152#4667C2211yescharacteristic
153#4667C2211yescharacteristic, complemented
154#4667C2211yescharacteristic, complemented
155#4666C2211yescharacteristic
156#4666C2211yescharacteristic, complemented
157#4666C2211yescharacteristic, complemented
158#4666C2211yescharacteristic, complemented
159#4665C2211yescharacteristic
160#4665C2211yescharacteristic
161#4665C2211yescharacteristic
162#4665C2211yescharacteristic
163#4665C2211yescharacteristic
164#4665C2211yescharacteristic
165#4665C2211yescharacteristic, complemented
166#4665C2211yescharacteristic, complemented
167#4665C2211yescharacteristic, complemented
168#4665C2211yescharacteristic, complemented
169#4664C2211yescharacteristic
170#4664C2211yescharacteristic
171#4664C2211yescharacteristic
172#4664C2211yescharacteristic
173#4664C2211yescharacteristic, complemented
174D3×#95C2211yescharacteristic
175D3×#95C2211yescharacteristic
176D3×#95C2211yescharacteristic, complemented
177D3×#95C2211yescharacteristic, complemented
178D3×#95C2211yescharacteristic, complemented
179D3×#95C2211yescharacteristic, complemented
180#4660C2211yescharacteristic, complemented
181#4659C2211yescharacteristic, complemented
182#4658C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#525—31no—
192#2700—31no—
193#2699—31no—
194#2688—31no—
195#2687—31no—
196#2543—31no—
197#2534—31no—
198#2488—31no—
199#2488—31no—
200#2459—31no—
201#2457—31no—
202#2450—31no—
203#2444—31no—
204#2444D311yescharacteristic, complemented
205#2438—31no—
206#2430—31no—
207#2425—31no—
208#2420—31no—
209#2419—31no—
210#2412—31no—
211#2412—31no—
212#2410—31no—
213#2404—31no—
214#2364—31no—
215#2358—31no—
216#2342—31no—
217#2339—31no—
218#2339—31no—
219C2×#386—31no—
220C2×#381—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C2×D3×D4—24no—
240C2×D3×D4—24no—
241C2×D3×D4—42no—
242C2×#235—24no—
243C2×#235—24no—
244C2×#235—24no—
245C2×#235—24no—
246C2×#235—42no—
247C2×#235—42no—
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×C4×D3—24no—
253C22×C4×D3—24no—
254C22×C4×D3—42no—
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×Dic6C2311yescharacteristic
270C22×Dic6C2311yescharacteristic
271C3×#121—24no—
272C3×C4×D4—24no—
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C42C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302#939—24no—
303#938—24no—
304#938—24no—
305#937—24no—
306#937D418yescomplemented
307#936—24no—
308C4×#67—24no—
309C4×#67—24no—
310C4×#67—24no—
311C4×#67—42no—
312C4×#67—42no—
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359#897—24no—
360#896—24no—
361#895—24no—
362#894—24no—
363#894—42no—
364#893—24no—
365#884—24no—
366#884—42no—
367#883—24no—
368#883—24no—
369#883—24no—
370#882—24no—
371#882—42no—
372D3×C22⋊C4—24no—
373D3×C22⋊C4—24no—
374D3×C22⋊C4—24no—
375D3×C22⋊C4—42no—
376D3×C22⋊C4—42no—
377D3×C22⋊C4—42no—
378#878—24no—
379C4×D12—24no—
380#872—24no—
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3×#95C2311yescharacteristic
392C3×#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C22×#41—31no—
425C23×D4—31no—
426C24×C4—31no—
427#546—68no—
428C2×#124—31no—
429#525—68no—
430C2×#123—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121C2×D311yescharacteristic
445C2×#120—31no—
446C2×#120—31no—
447C2×#120—31no—
448C2×#120—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4C2×D311yescharacteristic, complemented
457C2×#117—31no—
458C22×C22⋊C4—31no—
459C22×C22⋊C4—31no—
460C22×C22⋊C4—31no—
461C22×C22⋊C4—31no—
462C22×C22⋊C4—31no—
463C22×C22⋊C4—31no—
464#400—31no—
465#400—31no—
466#400—31no—
467#400C2×D311yescharacteristic, complemented
468#398—31no—
469#398—31no—
470#398—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397C2×D311yescharacteristic, complemented
477#397C2×D311yescharacteristic, complemented
478#396—31no—
479#396—31no—
480#395—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394C2×D311yescharacteristic
489#393—31no—
490#393—31no—
491#393—31no—
492#392—31no—
493#392—31no—
494#392—31no—
495#392—31no—
496#391—31no—
497#391—31no—
498#391—31no—
499#391—31no—
500#390—31no—
501#389—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388C2×D311yescharacteristic, complemented
512#387—31no—
513#387—31no—
514#387—31no—
515#387C2×D311yescharacteristic, complemented
516#386—31no—
517#386—31no—
518#386—31no—
519#386—31no—
520#386—31no—
521#386—31no—
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386C2×D311yescharacteristic
540#386C2×D311yescharacteristic, complemented
541#386C2×D311yescharacteristic, complemented
542#386C2×D311yescharacteristic, complemented
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385C2×D311yescharacteristic, complemented
550#382—31no—
551#381—31no—
552#381—31no—
553#381—31no—
554#381—31no—
555#381—31no—
556#381—31no—
557#381—31no—
558#381—31no—
559#381—31no—
560#381—31no—
561#381C2×D311yescharacteristic, complemented
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#379—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C2×#95—31no—
574C2×#95—31no—
575C2×#95—31no—
576C2×#95—31no—
577C2×#95—31no—
578C2×#95—31no—
579C2×#95C2×D311yescharacteristic, complemented
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3C2×D414yes—
597C23×D3C2411yescharacteristic
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C23×D3C2411yescharacteristic
601C2×C3×D4—22no—
602C2×C3×D4—22no—
603C2×C3×D4—22no—
604C2×C3×D4—41no—
605C2×C3×D4—41no—
606C2×C3×D4—41no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4C2×D414yes—
610C22×C3×C4—22no—
611C22×C3×C4—22no—
612C22×C3×C4—22no—
613C22×C3×C4—22no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—41no—
617C22×C3×C4—41no—
618C22×C3×C4—41no—
619C22×C3×C4—41no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67C2×D414yes—
657C2×#67C2×D414yes—
658C22×Dic3—22no—
659C22×Dic3—22no—
660C22×Dic3—41no—
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673D3×D4—416no—
674#235—416no—
675#235—416no—
676C2×D12—22no—
677C2×D12—22no—
678C2×D12—22no—
679C2×D12—22no—
680C2×D12—22no—
681C2×D12—22no—
682C2×D12—22no—
683C2×D12—22no—
684C2×D12—22no—
685C2×D12—41no—
686C2×D12—41no—
687C2×D12#4114yescomplemented
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—22no—
692C2×C4×D3—22no—
693C2×C4×D3—22no—
694C2×C4×D3—22no—
695C2×C4×D3—22no—
696C2×C4×D3—22no—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—22no—
702C2×C4×D3—22no—
703C2×C4×D3—22no—
704C2×C4×D3—22no—
705C2×C4×D3—22no—
706C2×C4×D3—22no—
707C2×C4×D3—22no—
708C2×C4×D3—22no—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
711C2×C4×D3—22no—
712C2×C4×D3—416no—
713C2×C4×D3—41no—
714C2×C4×D3—41no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×D3—41no—
721C2×C4×D3—41no—
722C2×C4×D3—41no—
723C2×C4×D3—41no—
724C2×C4×D3—41no—
725C2×C4×D3—41no—
726C2×C4×D3—41no—
727C2×C4×D3—41no—
728C2×C4×D3—41no—
729C2×C4×D3—41no—
730C2×C4×D3#4114yescomplemented
731C2×Dic6—22no—
732C2×Dic6—22no—
733C2×Dic6—22no—
734C2×Dic6—22no—
735C2×Dic6—41no—
736C2×Dic6—41no—
737C3×C4⋊C4—22no—
738C3×C4⋊C4—22no—
739C3×C4⋊C4—22no—
740C3×C4⋊C4—41no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—22no—
743C3×C22⋊C4—22no—
744C3×C22⋊C4—22no—
745C3×C22⋊C4—22no—
746C3×C22⋊C4—41no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4—41no—
749C3×C22⋊C4—41no—
750C3×C22⋊C4—41no—
751C3×C22⋊C4—41no—
752C3×C42—22no—
753#217—22no—
754#217—22no—
755#217—22no—
756#217—22no—
757#217—22no—
758#217—22no—
759#217—41no—
760#217—41no—
761#217—41no—
762#217—41no—
763#217—41no—
764#217—41no—
765#217C2×D414yes—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4C2×D414yes—
791(C2×D3)⋊C4C2×D414yes—
792C4⋊Dic3—22no—
793C4⋊Dic3—22no—
794C4⋊Dic3—22no—
795C4⋊Dic3—41no—
796C4⋊Dic3—41no—
797Dic3⋊C4—22no—
798Dic3⋊C4—22no—
799Dic3⋊C4—22no—
800Dic3⋊C4—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—41no—
803Dic3⋊C4—41no—
804Dic3⋊C4—41no—
805Dic3⋊C4—41no—
806Dic3⋊C4—41no—
807C4×Dic3—22no—
808C4×Dic3—22no—
809C4×Dic3—41no—
810C4×Dic3—41no—
811C4×Dic3—41no—
812C25—31no—
813C25—31no—
814C2×#41—64no—
815C2×#41—64no—
816C2×#41—64no—
817C2×#41—64no—
818C2×#41—122no—
819C2×#41—122no—
820C22×Q8—31no—
821C22×Q8—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—64no—
835C22×D4—64no—
836C22×D4—122no—
837C22×D4C22×D311yescharacteristic
838C22×D4C22×D311yescharacteristic
839C22×D4C22×D311yescharacteristic
840C23×C4—31no—
841C23×C4—31no—
842C23×C4—31no—
843C23×C4—31no—
844C23×C4—31no—
845C23×C4—31no—
846C23×C4—31no—
847C23×C4—31no—
848C23×C4—31no—
849C23×C4—31no—
850C23×C4—31no—
851C23×C4—31no—
852C23×C4—31no—
853C23×C4—31no—
854C23×C4—31no—
855C23×C4—64no—
856C23×C4—64no—
857C23×C4—122no—
858C23×C4C22×D311yescharacteristic
859C23×C4C22×D311yescharacteristic
860C23×C4C22×D311yescharacteristic
861C23×C4C22×D311yescharacteristic
862#124—64no—
863#123—64no—
864#123—64no—
865#123—64no—
866#123—64no—
867#123—122no—
868C22⋊Q8—64no—
869C22⋊Q8—64no—
870C22⋊Q8—64no—
871#121—24no—
872#121—64no—
873#121—64no—
874#121—64no—
875#121—64no—
876#121—64no—
877#121—122no—
878#120—38no—
879#120—64no—
880#120—64no—
881#120—122no—
882C4×D4—24no—
883C4×D4—64no—
884C4×D4—64no—
885C4×D4—64no—
886C4×D4—64no—
887C4×D4—64no—
888C4×D4—122no—
889C4×D4—122no—
890#117—64no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C4⋊C4C22×D311yescharacteristic
908C2×C4⋊C4C22×D311yescharacteristic
909C2×C4⋊C4C22×D311yescharacteristic
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—64no—
950C2×C22⋊C4—64no—
951C2×C22⋊C4—64no—
952C2×C22⋊C4—122no—
953C2×C22⋊C4—122no—
954C2×C22⋊C4—122no—
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C22⋊C4C22×D311yescharacteristic
963C2×C22⋊C4C22×D311yescharacteristic
964C2×C22⋊C4C22×D311yescharacteristic
965C2×C22⋊C4C22×D311yescharacteristic
966C2×C42—31no—
967C2×C42—31no—
968C2×C42—31no—
969C2×C42—31no—
970C2×C42—31no—
971C2×C42C22×D311yescharacteristic
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95C22×D311yescharacteristic
1003#95C22×D311yescharacteristic
1004#95C22×D311yescharacteristic
1005#95C22×D311yescharacteristic
1006#95C22×D311yescharacteristic
1007#95C22×D311yescharacteristic
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010#95C22×D311yescharacteristic
1011#95C22×D311yescharacteristic
1012#95C22×D311yescharacteristic
1013#95C22×D311yescharacteristic
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3C22×D412yes—
1034C23×C3C22×D412yes—
1035C23×C3C2511yescharacteristic
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—28no—
1051C22×D3—28no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—44no—
1060C22×D3—44no—
1061C22×D3—44no—
1062C22×D3—44no—
1063C22×D3—44no—
1064C22×D3—44no—
1065C22×D3—44no—
1066C22×D3—44no—
1067C22×D3—44no—
1068C22×D3—82no—
1069C22×D3—82no—
1070C22×D3—82no—
1071C22×D3C22×D412yes—
1072C22×D3C22×D412yes—
1073C22×D3C2×#4112yes—
1074C22×D3C2×#4112yes—
1075C22×D3C2×#4112yes—
1076C22×D3H(5,𝔽2)12yes—
1077C22×D3H(5,𝔽2)12yes—
1078C3×D4—44no—
1079C3×D4—44no—
1080C3×D4—82no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—44no—
1115C2×C3×C4—44no—
1116C2×C3×C4—44no—
1117C2×C3×C4—82no—
1118C2×C3×C4C22×D412yes—
1119C2×C3×C4C2×#4112yes—
1120C2×C3×C4C2×#4112yes—
1121#67—28no—
1122#67—28no—
1123#67—44no—
1124#67—44no—
1125#67—44no—
1126#67—44no—
1127#67—44no—
1128#67—82no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—44no—
1163C2×Dic3C22×D412yes—
1164C2×Dic3C22×D412yes—
1165C2×Dic3C2×#4112yes—
1166D12—28no—
1167D12—44no—
1168D12—44no—
1169D12—82no—
1170C4×D3—28no—
1171C4×D3—44no—
1172C4×D3—44no—
1173C4×D3—44no—
1174C4×D3—44no—
1175C4×D3—44no—
1176C4×D3—44no—
1177C4×D3—44no—
1178C4×D3—82no—
1179C4×D3—82no—
1180C4×D3—82no—
1181C4×D3—82no—
1182C4×D3—82no—
1183C4×D3—82no—
1184Dic6—44no—
1185Dic6—44no—
1186C24—31no—
1187C24—31no—
1188C24—31no—
1189C24—34no—
1190C24—31no—
1191C24—62no—
1192C24—62no—
1193C24—62no—
1194C24—62no—
1195C24—62no—
1196C24—62no—
1197C24—62no—
1198C24—62no—
1199C24—121no—
1200C24—121no—
1201C24—121no—
1202C24—121no—
1203C24—121no—
1204C24C23×D311yescharacteristic
1205C24C23×D311yescharacteristic
1206C24C23×D311yescharacteristic
1207#41—1216no—
1208#41—1216no—
1209C2×Q8—62no—
1210C2×Q8—62no—
1211C2×Q8—62no—
1212C2×Q8—62no—
1213C2×Q8—121no—
1214C2×Q8—121no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—34no—
1219C2×D4—34no—
1220C2×D4—34no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—62no—
1227C2×D4—62no—
1228C2×D4—62no—
1229C2×D4—62no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—121no—
1250C2×D4—121no—
1251C2×D4—121no—
1252C2×D4—121no—
1253C2×D4—121no—
1254C2×D4—121no—
1255C2×D4—121no—
1256C2×D4—121no—
1257C2×D4—121no—
1258C2×D4—121no—
1259C2×D4—1216no—
1260C2×D4D3×D414yes—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—31no—
1268C22×C4—31no—
1269C22×C4—31no—
1270C22×C4—34no—
1271C22×C4—31no—
1272C22×C4—31no—
1273C22×C4—31no—
1274C22×C4—31no—
1275C22×C4—31no—
1276C22×C4—31no—
1277C22×C4—31no—
1278C22×C4—31no—
1279C22×C4—31no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—62no—
1287C22×C4—62no—
1288C22×C4—62no—
1289C22×C4—62no—
1290C22×C4—62no—
1291C22×C4—62no—
1292C22×C4—62no—
1293C22×C4—62no—
1294C22×C4—62no—
1295C22×C4—62no—
1296C22×C4—62no—
1297C22×C4—62no—
1298C22×C4—62no—
1299C22×C4—62no—
1300C22×C4—62no—
1301C22×C4—62no—
1302C22×C4—62no—
1303C22×C4—62no—
1304C22×C4—62no—
1305C22×C4—62no—
1306C22×C4—62no—
1307C22×C4—62no—
1308C22×C4—62no—
1309C22×C4—62no—
1310C22×C4—62no—
1311C22×C4—62no—
1312C22×C4—121no—
1313C22×C4—121no—
1314C22×C4—121no—
1315C22×C4—121no—
1316C22×C4—121no—
1317C22×C4—121no—
1318C22×C4—121no—
1319C22×C4—121no—
1320C22×C4—121no—
1321C22×C4—121no—
1322C22×C4—121no—
1323C22×C4—121no—
1324C22×C4—121no—
1325C22×C4—121no—
1326C22×C4—121no—
1327C22×C4—121no—
1328C22×C4—121no—
1329C22×C4—1216no—
1330C22×C4—121no—
1331C22×C4C23×D311yescharacteristic
1332C22×C4C23×D311yescharacteristic
1333C22×C4C23×D311yescharacteristic
1334C22×C4C23×D311yescharacteristic
1335C22×C4C23×D311yescharacteristic
1336C22×C4C23×D311yescharacteristic
1337C22×C4C23×D311yescharacteristic
1338C22×C4C23×D311yescharacteristic
1339C22×C4C23×D311yescharacteristic
1340C22×C4C23×D311yescharacteristic
1341C22×C4C23×D311yescharacteristic
1342C22×C4C23×D311yescharacteristic
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—41no—
1347C4⋊C4—62no—
1348C4⋊C4—62no—
1349C4⋊C4—62no—
1350C4⋊C4—62no—
1351C4⋊C4—62no—
1352C4⋊C4—62no—
1353C4⋊C4—62no—
1354C4⋊C4—62no—
1355C4⋊C4—121no—
1356C4⋊C4—121no—
1357C4⋊C4—121no—
1358C4⋊C4—121no—
1359C4⋊C4—121no—
1360C4⋊C4—121no—
1361C4⋊C4—121no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—34no—
1368C22⋊C4—34no—
1369C22⋊C4—34no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—121no—
1398C22⋊C4—121no—
1399C22⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C22⋊C4—121no—
1403C22⋊C4—121no—
1404C22⋊C4—121no—
1405C22⋊C4—121no—
1406C22⋊C4—121no—
1407C22⋊C4—121no—
1408C22⋊C4—121no—
1409C22⋊C4—121no—
1410C22⋊C4—121no—
1411C22⋊C4—121no—
1412C42—22no—
1413C42—62no—
1414C42—62no—
1415C42—121no—
1416C42—121no—
1417C42—121no—
1418C22×C3—22no—
1419C22×C3—22no—
1420C22×C3—22no—
1421C22×C3—22no—
1422C22×C3—22no—
1423C22×C3—22no—
1424C22×C3—41no—
1425C22×C3—41no—
1426C22×C3—41no—
1427C22×C3—41no—
1428C22×C3—41no—
1429C22×C3—41no—
1430C22×C3—41no—
1431C22×C3—41no—
1432C22×C3—41no—
1433C22×C3—41no—
1434C22×C3—41no—
1435C22×C3—41no—
1436C22×C3—41no—
1437C22×C3—41no—
1438C22×C3—41no—
1439C22×C3C23×D411yescharacteristic
1440C22×C3C22×#4111yescharacteristic
1441C22×C3C22×#4111yescharacteristic
1442C22×C3C2×H(5,𝔽2)11yescharacteristic
1443C22×C3C2×H(5,𝔽2)11yescharacteristic
1444C22×C3#58511yescharacteristic
1445C22×C3#58511yescharacteristic
1446C2×D3—22no—
1447C2×D3—22no—
1448C2×D3—22no—
1449C2×D3—22no—
1450C2×D3—22no—
1451C2×D3—22no—
1452C2×D3—22no—
1453C2×D3—22no—
1454C2×D3—22no—
1455C2×D3—22no—
1456C2×D3—22no—
1457C2×D3—22no—
1458C2×D3—22no—
1459C2×D3—22no—
1460C2×D3—22no—
1461C2×D3—416no—
1462C2×D3—41no—
1463C2×D3—41no—
1464C2×D3—41no—
1465C2×D3—41no—
1466C2×D3—41no—
1467C2×D3—41no—
1468C2×D3—41no—
1469C2×D3—41no—
1470C2×D3—41no—
1471C2×D3—41no—
1472C2×D3—41no—
1473C2×D3—88no—
1474C2×D3#54614yes—
1475C2×D3#54614yes—
1476C3×C4—22no—
1477C3×C4—22no—
1478C3×C4—22no—
1479C3×C4—41no—
1480C3×C4—41no—
1481C3×C4—41no—
1482C3×C4—41no—
1483C3×C4—41no—
1484C3×C4—41no—
1485C3×C4—41no—
1486C3×C4—41no—
1487C3×C4—41no—
1488Dic3—22no—
1489Dic3—22no—
1490Dic3—22no—
1491Dic3—41no—
1492Dic3—41no—
1493Dic3—41no—
1494Dic3—41no—
1495Dic3—41no—
1496Dic3—41no—
1497Dic3—41no—
1498Dic3—41no—
1499Dic3—41no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—32no—
1520C23—32no—
1521C23—32no—
1522C23—32no—
1523C23—32no—
1524C23—32no—
1525C23—32no—
1526C23—68no—
1527C23—68no—
1528C23—61no—
1529C23—61no—
1530C23—61no—
1531C23—61no—
1532C23—61no—
1533C23—61no—
1534C23—61no—
1535C23—61no—
1536C23—61no—
1537C23—61no—
1538C23—61no—
1539C23—61no—
1540C23—61no—
1541C23—61no—
1542C23—61no—
1543C23—61no—
1544C23—61no—
1545C23—61no—
1546C23—61no—
1547C23—61no—
1548C23—61no—
1549C23—124no—
1550C23—124no—
1551C23—124no—
1552C23—124no—
1553C23—124no—
1554C23—124no—
1555C23—124no—
1556C23—124no—
1557C23—124no—
1558C23—242no—
1559C23—242no—
1560C23—242no—
1561C23C2×D3×D412yes—
1562C23C2×D3×D412yes—
1563C23C24×D311yescharacteristic
1564Q8—124no—
1565Q8—124no—
1566D4—44no—
1567D4—44no—
1568D4—68no—
1569D4—68no—
1570D4—68no—
1571D4—82no—
1572D4—124no—
1573D4—124no—
1574D4—124no—
1575D4—124no—
1576D4—124no—
1577D4—124no—
1578D4—124no—
1579D4—242no—
1580D4—242no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—32no—
1615C2×C4—32no—
1616C2×C4—32no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—68no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—61no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—61no—
1637C2×C4—61no—
1638C2×C4—61no—
1639C2×C4—61no—
1640C2×C4—61no—
1641C2×C4—61no—
1642C2×C4—61no—
1643C2×C4—61no—
1644C2×C4—61no—
1645C2×C4—61no—
1646C2×C4—61no—
1647C2×C4—61no—
1648C2×C4—61no—
1649C2×C4—61no—
1650C2×C4—61no—
1651C2×C4—61no—
1652C2×C4—61no—
1653C2×C4—61no—
1654C2×C4—82no—
1655C2×C4—124no—
1656C2×C4—124no—
1657C2×C4—124no—
1658C2×C4—124no—
1659C2×C4—124no—
1660C2×C4—124no—
1661C2×C4—124no—
1662C2×C4—124no—
1663C2×C4—242no—
1664C2×C4—242no—
1665C2×C4—242no—
1666C2×C4—242no—
1667C2×C4—242no—
1668C2×C4—242no—
1669C2×C4C2×D3×D412yes—
1670C2×C4D3×#4112yes—
1671C2×C4D3×#4112yes—
1672C2×C3—42no—
1673C2×C3—42no—
1674C2×C3—81no—
1675C2×C3C2×#54611yescharacteristic
1676C2×C3C2×#54611yescharacteristic
1677C2×C3#347511yescharacteristic
1678C2×C3#348511yescharacteristic
1679C2×C3#349411yescharacteristic
1680C2×C3#351311yescharacteristic
1681C2×C3#353411yescharacteristic
1682D3—24no—
1683D3—24no—
1684D3—42no—
1685D3—81no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—34no—
1693C22—34no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—62no—
1710C22—62no—
1711C22—62no—
1712C22—62no—
1713C22—62no—
1714C22—62no—
1715C22—62no—
1716C22—62no—
1717C22—62no—
1718C22—62no—
1719C22—62no—
1720C22—62no—
1721C22—62no—
1722C22—62no—
1723C22—62no—
1724C22—1216no—
1725C22—121no—
1726C22—121no—
1727C22—121no—
1728C22—121no—
1729C22—121no—
1730C22—121no—
1731C22—121no—
1732C22—121no—
1733C22—121no—
1734C22—121no—
1735C22—121no—
1736C22—248no—
1737C22C22×D3×D411yescharacteristic
1738C22C2×D3×#4111yescharacteristic
1739C22C2×D3×#4111yescharacteristic
1740C22#596411yescharacteristic
1741C22#596411yescharacteristic
1742C22D3×H(5,𝔽2)11yescharacteristic
1743C22D3×H(5,𝔽2)11yescharacteristic
1744C4—22no—
1745C4—22no—
1746C4—22no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—62no—
1757C4—62no—
1758C4—62no—
1759C4—121no—
1760C4—121no—
1761C4—121no—
1762C4—121no—
1763C4—121no—
1764C4—121no—
1765C4—121no—
1766C4—121no—
1767C4—121no—
1768C3#5900911yescharacteristic, complemented, Sylow
1769C2—42no—
1770C2—42no—
1771C2—64no—
1772C2—64no—
1773C2—81no—
1774C2—122no—
1775C2—241no—
1776C2#8601211yescharacteristic
1777C2#8615111yescharacteristic
1778C2#8642111yescharacteristic
1779C2D3×#54611yescharacteristic
1780C2D3×#54611yescharacteristic
1781C2#8687811yescharacteristic
1782C2#8688311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2444C2
hypercenter#2444D3
hypocenterC3#59009
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2444

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#5612C2semidirect
2. C2×#5547C2semidirect
3. C3×#2444C2semidirect
4. #82691C2semidirect
5. #82405C2semidirect
6. #78346C2semidirect
7. #78344C2semidirect
8. #77678C2semidirect
9. #77668C2semidirect
10. #77668C2semidirect
11. #77569C2semidirect
12. #77108C2semidirect
13. #77019C2semidirect
14. #75847C2semidirect
15. #75832C2semidirect
16. #75317C2semidirect
17. #75309C2semidirect
18. #74902C2semidirect
19. #74901C2semidirect
20. #74897C2semidirect
21. #74886C2semidirect
22. #74880C2semidirect
23. D3×#386C2semidirect
24. #74799C2semidirect
25. #74717C2semidirect
26. #74606C2semidirect
27. #74604C2semidirect
28. D3×#381C2semidirect
29. #74069C2semidirect
30. #73368C2semidirect
31. #73368C2semidirect
38. C2×C3×C4×D4C22semidirect
39. C2×#939C22semidirect
47. C2×C4×#67C22semidirect
48. C2×C4×#67C22semidirect
49. C2×C4×#67C22semidirect
53. C2×#896C22semidirect
56. C2×#894C22semidirect
59. C2×#884C22semidirect
71. C2×#878C22semidirect
72. C2×C4×D12C22semidirect
74. C3×#400C22semidirect
75. C3×#397C22semidirect
76. C3×#397C22semidirect
78. C3×#388C22semidirect
79. C3×#387C22semidirect
81. C3×#386C22semidirect
82. C3×#386C22semidirect
83. C3×#386C22semidirect
84. C3×#385C22semidirect
85. C3×#381C22semidirect
86. C2×C3×#95C22semidirect
88. #5223C22semidirect
89. #5222C22semidirect
90. #5221C22semidirect
93. #5213C22semidirect
94. #5213C22semidirect
95. #5213C22semidirect
96. #5213C22semidirect
97. #5211C22semidirect
98. #5211C22semidirect
99. #5211C22semidirect
100. #4990C22semidirect
102. #4989C22semidirect
104. #4987C22semidirect
105. #4982C22semidirect
106. #4982C22semidirect
107. #4980C22semidirect
108. #4979C22semidirect
109. #4977C22semidirect
110. #4961C22semidirect
111. #4961C22semidirect
113. #4960C22semidirect
115. #4959C22semidirect
116. #4959C22semidirect
117. #4959C22semidirect
123. #4956C22semidirect
124. #4956C22semidirect
126. #4953C22semidirect
127. #4952C22semidirect
128. #4952C22semidirect
129. #4952C22semidirect
130. #4951C22semidirect
131. #4948C22semidirect
132. #4947C22semidirect
133. #4945C22semidirect
134. #4945C22semidirect
135. #4945C22semidirect
136. #4944C22semidirect
137. #4944C22semidirect
138. #4943C22semidirect
139. #4943C22semidirect
140. C4×(C2×D3)⋊C4C22semidirect
141. #4928C22semidirect
142. #4676C22semidirect
143. #4674C22semidirect
144. #4673C22semidirect
145. #4673C22semidirect
146. #4670C22semidirect
147. #4670C22semidirect
149. #4668C22semidirect
150. #4668C22semidirect
151. #4668C22semidirect
153. #4667C22semidirect
154. #4667C22semidirect
156. #4666C22semidirect
157. #4666C22semidirect
158. #4666C22semidirect
165. #4665C22semidirect
166. #4665C22semidirect
167. #4665C22semidirect
168. #4665C22semidirect
173. #4664C22semidirect
176. D3×#95C22semidirect
177. D3×#95C22semidirect
178. D3×#95C22semidirect
179. D3×#95C22semidirect
180. #4660C22semidirect
181. #4659C22semidirect
182. #4658C22semidirect
183. #4657C22semidirect
184. #4655C22semidirect
185. #4654C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
204. #2444D3semidirect
306. #937D4semidirect
456. C2×C4×D4C2×D3semidirect
467. #400C2×D3semidirect
476. #397C2×D3semidirect
477. #397C2×D3semidirect
511. #388C2×D3semidirect
515. #387C2×D3semidirect
540. #386C2×D3semidirect
541. #386C2×D3semidirect
542. #386C2×D3semidirect
549. #385C2×D3semidirect
561. #381C2×D3semidirect
579. C2×#95C2×D3semidirect
687. C2×D12#41semidirect
730. C2×C4×D3#41semidirect
1768. C3#59009semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#56122
C2×#55472
C3×#24442
#826912
#824052
#783462
#783442
#776782
#776682
#775692
#771082
#770192
#758472
#758322
#753172
#753092
#749022
#749012
#748972
#748862
#748802
D3×#3862
#747992
#747172
#746062
#746042
D3×#3812
#740692
#733682
#590093